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Finding the Fourth Proportional to 16,461.75, 22,717.22 and 9,009.75

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Solution

The fourth proportional to 16,461.75, 22,717.22 and 9,009.75 is: 12,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.75 : 22,717.22 = 9,009.75 : x
  2. Step 2: Convert to fraction form
    16,461.75/22,717.22 = 9,009.75/x
  3. Step 3: Cross multiply
    16,461.75x = 22,717.22 × 9,009.75
  4. Step 4: Simplify right side
    16,461.75x = 204,676,427.85
  5. Step 5: Solve for x
    x = 204,676,427.85/16,461.75
  6. Step 6: Final answer
    x = 12,433.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.